Bayesian A/B Test Calculator

Enter your Control and Variant sample sizes and conversions to get a Bayesian probability that each version is the winner. You'll see Chance to Beat for both groups, their conversion rates, and the relative uplift — giving you a clear, intuitive read on your A/B test results without needing p-values. Also try the Probability Calculator.

Total number of users or sessions exposed to Control variant A.

Number of clicks, sign-ups, or goal completions for variant A.

Total number of users or sessions exposed to Variant B.

Number of clicks, sign-ups, or goal completions for variant B.

Prior Beta distribution α parameter. Use 1 for a non-informative prior.

Prior Beta distribution β parameter. Use 1 for a non-informative prior.

Variants exceeding this chance-to-beat threshold are declared the winner.

Results

Variant B — Chance to Beat Control

--

Control A — Chance to Beat Variant

--

Control A — Conversion Rate

--

Variant B — Conversion Rate

--

Relative Uplift (B vs A)

--

Winner

--

Curious if your new design or feature is genuinely outperforming the original? With the Bayesian A/B Test Calculator, you instantly get the actual probability that your test variation beats the original, letting you make trustworthy decisions based on real differences—not just assumptions. Instead of staring at complex results and debating statistical significance, you can focus on actionable, easy-to-interpret recommendations that point you toward the winner, help with solid risk assessment, and offer direct advice on whether to implement the alternative. This approach streamlines A/B split comparisons for everyone, from data analysis experts to marketing teams, by turning your results into clear, practical insight—no p-values, no guesswork.

Demystifying Results with the Bayesian A/B Test Calculator

Quickstart: Control Group, Test Group, and Using This Tool

  1. Enter the number of samples for both group a (control group) and group b (test group). This could be users, the number of users, sessions or impressions depending on your kpi.
  2. Input the number of positive outcomes for each group—these are goal conversions, such as conversions, successful clicks, or sign-ups.
  3. Specify your prior alpha and beta parameters if you want to apply prior knowledge (optional), or use default non-informative priors for a fair baseline.
  4. Click calculate and you’re done! The calculator will analyze the data input and instantly visualize the chance to be best of each group, credible intervals, and all other key insights.

You can use this bayesian a/b test calculator to find out if your a/b-test results are statistically significant, interpret risk assessment, and implement the variation with clarity and confidence. This tool is perfect for running controlled analyses—any scenario where you need rapid, reliable answers about A/B or split testing performance, including when you want to compare test variations across test and control groups.

Why Choose The Bayesian Approach? Prior Knowledge, Simplicity, and Power

Bayesian A/B procedures—like the methodology used in leading tools such as bayesian a/b testing in statsig—transforms your raw sample and control group data into direct and intuitive outcome statements. Unlike likelihood-based frequentist methods, Bayesian inference doesn’t require you to wrangle with p-values, null hypotheses, or confidence intervals. Instead, you get answers such as “there’s a 97% chance your a/b-test variant will outperform the original.”

The calculator leverages modern analysis methods to estimate the chance each variant is best, based on posterior statistical outputs computed from your input. It combines your observed results—successes and failures in the control and tested groups—with prior knowledge (if any), to deliver robust, updated estimates. This gives you clarity for decision-making, supports robust product measurement, and enables reliable inference for randomized experiments at any scale, whether it’s marketing, product, or UI changes.

Compared to classical analysis approaches, which often leave stakeholders confused about significance level or the definition of a winner, Bayesian calculation tools give you:

  • Simplicity and intuitiveness—predicted chances directly map to your decision (“probability to be best”).
  • The ability to incorporate prior knowledge when appropriate.
  • Support for flexible study design—adaptable to switchback experiments, sequential approaches, and even adaptive algorithm strategies.
  • Easy extension beyond binary choices: Extendable to more than two alternatives by launching an experiment on statsig or a similar robust toolkit for A/B tests supported by Bayesian and frequentist approaches.

Because the calculator is limited to integer inputs, if you have a percent or ratio to measure success, such as a 3.6% rate, represent it as an integer (e.g., 36 out of 1,000). The tool considers two variants or groups; if you need more, consider launching an analysis and use the add variation feature where available.

Making Sense of Results: Visualizing Probabilities and Differences with the Free Bayesian A/B Test Calculator

Probability Density Functions and Success Rate Distributions

The core of the free bayesian a/b testing calculator is how it visualizes and clarifies the probability density for both test group (group b) and control group (group a). These functions show you the entire range of plausible success rates for each group, not just a single estimate.

For instance, you’ll see the success rate profiles for the control (blue) and test (red) groups illustrated—useful for seeing where their predictions overlap and where they’re distinctly different. The curves completely overlap if no data is entered, or if the counts for each group are identical. When you input real data, success rates that fall within high density intervals are more likely than those that fall in areas of low density. This provides clear data analysis for researchers focused on conversions analysis, measurement of outcomes, and product measurement.

Interpreting Intervals, Quantiles, and Credible Differences

Each posterior profile (after accounting for priors, and your control/results) is used to simulate many possible outcomes, representing uncertainty about each group’s true conversion rate. Each sample is a possible predicted value for the given group. For every simulation, the difference between variant and control is calculated by subtracting the control value from the tested value. This produces the profile of differences in success rate between variant and control groups, which is essential for risk assessment and decision-making.

The histogram or density plot of the difference gives you a direct answer to: “What is the chance that your a/b-test alternative beats the original?” This is the chance to be best or chance to beat. For instance:

Result TypeGroup A (Control)Group B (Test)Difference
Success Rate1.5%1.7%+0.2%
95% Central Interval1.2–1.8%1.3–2.0%-0.3–+0.5%
Chance to Beat27.7%72.3%-
Probability to be Best27.7%72.3%-

You can also consult central intervals: for example, where 99% of the values of each profile fall—between the 0.5% and 99.5% percentiles. The bounds for the difference profile aren’t necessarily the same as test minus the control bounds.

The calculator also provides credible intervals and key quantiles of the differences chart so you can implement the variation with statistical confidence. Intervals show the expected range for the conversion rates, quantiles summarize uncertainty, and the difference profile visualizes expected uplift and risk. It’s especially helpful for experiments measuring positive indicators or goal completions for your test and control groups.

Worked Examples: Landing Pages, Feature Launches, and Email Campaigns

Below are three real-world controlled trial scenarios you can analyze using a bayesian a/b test calculator (sometimes referenced as the abtestguide.com calculator or split testing calculator):

  • Comparing Landing Page Designs: Suppose group a (control group) receives 2,000 users and sees 180 conversions (9%), while group b (test group) gets 2,000 users and 210 conversions (10.5%).
    1. Input the total sample size for each variant (2,000 for both).
    2. Enter the number of clicks or goal completions (180 and 210).
    3. Click calculate—
    4. The calculator might output a 94% chance to be best for group b, central interval 10–11%, and difference quantile of +1.5% uplift. Since winner significance level is >95%, variations that exceed this threshold are declared the winner of the comparison.
  • Feature Impact Evaluation: Testing a new button across app users, group a has 5,000 user visits and 425 click-throughs, group b has 5,000 unique visits and 470 click-throughs.
    1. Enter users and positive outcomes (clicks for each group).
    2. The calculator shows group b’s chance to be best at 88%. The difference results show uplift but the credible interval overlaps zero. You may want a larger sample size before calling a statistically significant winner.
  • Email Subject Line Test: Sending two subject lines to 10,000 users each. Line A gets 912 opens, line B gets 990.
    1. Enter the number of users and the number of opens for each.
    2. The tool finds chance to be best for group b at 97.5%, difference median of +0.8%.
    3. Given the high probability and central interval beyond zero, group b is the winner—go ahead and use that subject line.

Advanced Experimentation: Priors, Sample Size, and Beyond

When specifying the prior alpha and beta parameters, you can incorporate your own prior knowledge or use default values for non-informative priors. The calculator supports custom design for varied needs—whether your goal is precise interval estimation, robust risk assessment for product launches, or even adaptive bandit optimization.

Samples must be greater or equal to conversions and the input is limited to integer values—be sure your data matches these requirements for the most accurate statistical interpretation. If you want to analyze more than two variants, consider using the add variation option on a platform like statsig for full coverage.

You can use the results to find out if your a/b-test results are statistically significant and check the likelihood that your experiment succeeded, even in cases where classical tools provide inconclusive evidence. This tool makes probabilistic testing accessible and reliable for all teams by focusing on practical, decision-ready recommendations, including sequential approaches and switchback experiments where appropriate.

Ready to share your results? Easily share on facebook, share on twitter, or share on linkedin to get feedback and drive buy-in for your winning variant!

What Makes the Bayesian A/B Test Calculator Stand Out?

  • It takes prior knowledge into account and makes a clear recommendation how to proceed—eliminating ambiguity from your decision process.
  • The results help you with risk assessment, show the expected significance rate, and highlight the chance to be best for either variant.
  • The tool is ideal for classic split comparisons, advanced sequential approaches, switchback experiments, and scenarios modeled by allocation algorithms.
  • Supports refined inference, making it a robust toolkit for controlled studies in any test and control groups setup or experimentation culture.
  • Perfect for anyone interested in running experiments with statsig or similar leading platforms.

The bayesian a/b test calculator - statsig and other top solutions bring trustworthy, actionable, and easy-to-share results to all your split tests and analysis design needs, including the ability to use this free bayesian a/b testing calculator, optimize for positive indicators or goal completions, and review the number of users allocated to each group and the number of sessions or impressions depending on your KPI.

What is a Bayesian A/B test?

A Bayesian A/B test compares two variants by calculating the probability that one outperforms the other, given the observed data and a prior belief. Unlike frequentist methods, it expresses results as intuitive probabilities (e.g. '85% chance Variant B is better') rather than p-values, making it easier for non-statisticians to interpret and act on. See also our calculate Result Set, Cardinality (Number of Elements) & Elements Only in A — Set Theory.

What does 'Chance to Beat' mean?

'Chance to Beat' is the Bayesian probability that one variant has a higher true conversion rate than the other. A Variant B 'Chance to Beat' of 95% means there is a 95% probability that B's underlying conversion rate is genuinely higher than A's, based on your data.

What should my samples and conversions represent?

Samples are the total number of users, sessions, or impressions exposed to each variant. Conversions are the number of successful outcomes — clicks, sign-ups, purchases, or any goal completion — within that group. Conversions must always be less than or equal to samples.

What prior alpha and beta values should I use?

For most A/B tests with no strong prior knowledge, use α = 1 and β = 1, which represents a flat (non-informative) prior — meaning you start with no assumption about the conversion rate. If you have historical data suggesting a certain baseline rate, you can encode that belief by adjusting α and β accordingly. You might also find our AND Probability Calculator useful.

What winning threshold should I choose?

A 95% threshold is the most commonly used standard, meaning you declare a winner only when there is a 95% probability it is genuinely better. For lower-stakes tests or early exploration, 90% or even 85% may be acceptable. For high-stakes decisions like pricing or checkout flows, consider 99%.

How is Bayesian A/B testing different from frequentist testing?

Frequentist testing relies on p-values and requires a fixed sample size determined before the test begins. Bayesian testing lets you interpret results at any point during the test in probabilistic terms. Bayesian results are often considered more intuitive because they directly answer 'what is the probability B is better than A?' rather than asking 'is the result unlikely under the null hypothesis?'

How many samples do I need for a reliable result?

There is no hard minimum, but as a rule of thumb, aim for at least a few hundred conversions per variant to get stable posterior estimates. Very small sample sizes (fewer than 10–20 conversions) will produce high uncertainty regardless of the apparent conversion rate difference. Run your test until the chance-to-beat stabilises above your chosen threshold.

Can I use this calculator for more than two variants?

This calculator is designed for a two-variant (A vs B) comparison. For multi-variant (A/B/n) tests with three or more variants, the calculation becomes more complex. In that case, you can run pairwise comparisons between each variant and your control as a practical approximation.